A pure exchange economy with two agents 1 and 2.Preferences are given by u1=min{x1,y1} and u2=min{x2,sqrty2}.endowments are w1=(30,0) and w2=(0,20).Both behave as price takers.Find the equlibrium.
Competitive equilibrium: (price of x = 0, price of y = 1) supports the allocations in the following set:
{((x1, y1), (x2, y2))| y1 = 0, y2 = 20, sqrt{20} ≤ x2 ≤ 30, x1 = 30 - x2}